Wikispaces>PiotrGrochowski |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The 212 equal temperament divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 * 53, and it tempers out the same commas (32805/32768, 15625/15552 and 1600000/1594323) as 53 in the [[5-limit|5-limit]]. In the [[7-limit|7-limit]] it tempers out 2401/2400; in the [[11-limit|11-limit]] 385/384 and 1375/1372; and in the [[13-limit|13-limit]] 325/324, 625/624, 676/675 and 1001/1000. It is the [[Optimal_patent_val|optimal patent val]] for 7 and 13 limit [[Kleismic_family|quadritikleismic temperament]], and the 13-limit rank three [[Breed_family#Agni|agni temperament]]. Also, the 212b val (where fifth is flattened by single step, app. 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | [[Category:53]] |
| : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-06 14:42:27 UTC</tt>.<br>
| | [[Category:agni]] |
| : The original revision id was <tt>591166110</tt>.<br>
| | [[Category:edo]] |
| : The revision comment was: <tt></tt><br>
| | [[Category:quadritikleismic]] |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 212 equal temperament divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 * 53, and it tempers out the same commas (32805/32768, 15625/15552 and 1600000/1594323) as 53 in the [[5-limit]]. In the [[7-limit]] it tempers out 2401/2400; in the [[11-limit]] 385/384 and 1375/1372; and in the [[13-limit]] 325/324, 625/624, 676/675 and 1001/1000. It is the [[optimal patent val]] for 7 and 13 limit [[Kleismic family|quadritikleismic temperament]], and the 13-limit rank three [[Breed family#Agni|agni temperament]]. Also, the 212b val (where fifth is flattened by single step, app. 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.</pre></div>
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| <h4>Original HTML content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>212edo</title></head><body>The 212 equal temperament divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 * 53, and it tempers out the same commas (32805/32768, 15625/15552 and 1600000/1594323) as 53 in the <a class="wiki_link" href="/5-limit">5-limit</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a> it tempers out 2401/2400; in the <a class="wiki_link" href="/11-limit">11-limit</a> 385/384 and 1375/1372; and in the <a class="wiki_link" href="/13-limit">13-limit</a> 325/324, 625/624, 676/675 and 1001/1000. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 7 and 13 limit <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a>, and the 13-limit rank three <a class="wiki_link" href="/Breed%20family#Agni">agni temperament</a>. Also, the 212b val (where fifth is flattened by single step, app. 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.</body></html></pre></div>
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The 212 equal temperament divides the octave into 212 equal parts of 5.660 cents each. 212 = 4 * 53, and it tempers out the same commas (32805/32768, 15625/15552 and 1600000/1594323) as 53 in the 5-limit. In the 7-limit it tempers out 2401/2400; in the 11-limit 385/384 and 1375/1372; and in the 13-limit 325/324, 625/624, 676/675 and 1001/1000. It is the optimal patent val for 7 and 13 limit quadritikleismic temperament, and the 13-limit rank three agni temperament. Also, the 212b val (where fifth is flattened by single step, app. 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.